The moduli space of cubic threefolds
The moduli space of cubic threefolds
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DOI：
10.1090/s1056-3911-02-00313-2
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发表时间：
2003
影响因子：
1.8
通讯作者：
Daniel Allcock
中科院分区：
文献类型：
--
作者：
Daniel Allcock
本文用几何不变量理论刻画了CP4中三次超曲面的模空间。也就是说，我们用奇点刻画了稳定和半稳定超曲面，并在它们的轨道闭包交的等价关系下确定了半稳定超曲面的等价类。
We describe the moduli space of cubic hypersurfaces in CP 4 in the sense of geometric invariant theory. That is, we characterize the stable and semistable hypersurfaces in terms of their singularities, and determine the equivalence classes of semistable hypersurfaces under the equivalence relation of their orbit-closures meeting.